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MATHEMATICAL STATEMENT OF CHRISTALLER
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adoption patterns adoptor Assumption Axiom bundle k market central place number central place populations central place structure central place theory Chapter Christaller central place Christaller population structure Christaller structure C(m comparative statics Corollary 1-3 Dacey Definition delivered price demand density denoted density of demand Dirichlet region dx dy enlarged market region equilibrium factor of production firm F firms of industry function r region G e G gonal hexagonal lattice hierarchical distance implies industry F integers isometry k-dominates k-subordinates Lemma m-marked lattice maps nearest lattice points notation number of migrants order m region order n central parameter place of order points of L(i population structure C(p produced Proof quantity reduced generating cell satisfies Section separable Christaller sublattice subsection symmetry t-adoptors tesselation Theorem tice tion tral place unit lattices utility density